Question

The DIAMETER of a sphere is doubled. What is the new volume of the sphere?

A)
8/3πr3
B)
16/3πr3
C)
32/3πr3
D)
64/3πr3

Answer 1

we know that
[volume of a sphere]=(4/3)*pi*r³
if the diameter is doubled
then
the radius also is doubled

the new volume=(4/3)*pi*(2r)³------> 8*[(4/3)*pi*r³]-------> (32/3)*pi*r³

the answer is C)
32/3πr3